Question

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?​

Answer 1

Answer:

Assuming level ground and a vertical wall, the ground, the wall, and the ladder form a right triangle, with the ladder as the hypotenuse.

Use the Pythagorean Theorem to solve the problem.

c²=a²+b²

10²=3²+x²

100=9+x²

100-9=x2

91=x2

x=√91

x=9.953 feet.